16 ideas
| 10185 | Set theory is the standard background for modern mathematics [Burgess] |
| 10184 | Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess] |
| 10189 | There is no one relation for the real number 2, as relations differ in different models [Burgess] |
| 10186 | If set theory is used to define 'structure', we can't define set theory structurally [Burgess] |
| 10187 | Abstract algebra concerns relations between models, not common features of all the models [Burgess] |
| 10188 | How can mathematical relations be either internal, or external, or intrinsic? [Burgess] |
| 14534 | Shoemaker moved from properties as powers to properties bestowing powers [Shoemaker, by Mumford/Anjum] |
| 7647 | The imagination alone perceives all objects; it is the soul, playing all its roles [La Mettrie] |
| 7645 | When falling asleep, the soul becomes paralysed and weak, just like the body [La Mettrie] |
| 23225 | The soul's faculties depend on the brain, and are simply the brain's organisation [La Mettrie] |
| 7652 | Man is a machine, and there exists only one substance, diversely modified [La Mettrie] |
| 7650 | All thought is feeling, and rationality is the sensitive soul contemplating reasoning [La Mettrie] |
| 7651 | With wonderful new machines being made, a speaking machine no longer seems impossible [La Mettrie] |
| 7648 | The sun and rain weren't made for us; they sometimes burn us, or spoil our seeds [La Mettrie] |
| 7646 | There is no abrupt transition from man to animal; only language has opened a gap [La Mettrie] |
| 7649 | There is no clear idea of the soul, which should only refer to our thinking part [La Mettrie] |